Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
69312di |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-5.2578872931543E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 4 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1975873,-1536859201] |
[a1,a2,a3,a4,a6] |
j |
-69173457625/42633378 |
j-invariant |
L |
1.2386774293021 |
L(r)(E,1)/r! |
Ω |
0.061933872071849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69312m2 17328t2 3648y2 |
Quadratic twists by: -4 8 -19 |